Han Shi-fang, Xiao Fan. Investigation on an Internal Thermal Flow of Non-Newtonian Fluid[J]. Applied Mathematics and Mechanics, 1992, 13(5): 407-419.
Citation: Han Shi-fang, Xiao Fan. Investigation on an Internal Thermal Flow of Non-Newtonian Fluid[J]. Applied Mathematics and Mechanics, 1992, 13(5): 407-419.

Investigation on an Internal Thermal Flow of Non-Newtonian Fluid

  • Received Date: 1990-11-08
  • Publish Date: 1992-05-15
  • In the present paper an unsteady thermal flow of non-Newtonian fluid is investigated which is of the flow into axisymmetric mould cavity.In the second part an unsteady thermal flow of upper-convected Maxwell fluid is studied.For the flow into mould cavity the constitutive equation of power-law fluid is used as a Theological model of polymer fluid.The apparent viscosity is considered as a function of shear rate and temperature.A characteristic viscosity is introduced in order to avoid the nonlinearity due to the temperature dependence of the apparent viscosity.As the viscosity of the fluid is relatively high the flow of the thermal fluid can be considered as a flow of fully developed velocity field.However, the temperature field of the fluid flow is considered as an unsteady one.The governing equations are constitutive equation, momentum equation of steady flow and energy conservation equation of non-steady form.The present system of equations has been solved numerically by the splitting difference method.The numerical results show that the splitting difference method is suitable for the 2D problem of non-Newtonian fluid.The present application of the splitting diffference method is at first developed by us for non-Newtonian case.For the unsteady flow in the tube the finite difference scheme is given which leads to a tridiagonal system of equations.
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  • [1]
    韩式方,《非牛顿流体连续介质力学》,四川科学技术出版让,成都(1988).
    [2]
    韩式方、肖帆,圆管内幂律流体非定常传热过程的研究(非定常热流的-个解析解),稼热变学进展》,学术期刊出版社(1986).
    [3]
    韩式方、肖帆,管内非牛顿流体非定常热流数值计算,《流变学进展Ⅰ》,成都科技大学出版社(1987).
    [4]
    Richardson,S.M.,Computational Analysis of Polymer Processing,Ed.J.R.A.Pearson and S.M.Richardson,Applied Science Publishers,London (1983),138-177.
    [5]
    Yanenko,N.N.,The Method of Fractional Steps,Springer-Verlag,Berlin,Heidelberg,New York (1971).
    [6]
    吴江航、韩庆书,《计算流体力学的理论、方洪及应用》,科学出版计,北京(1988).
    [7]
    Williams,G.and H.A.Lord,Molding ffiling studies for the injection molding of thermoplastic materials,Parts 1 and 2,Polymer Eng.Sci.,15 (1975),553.
    [8]
    Kamal,M.R.and S.Kenig,The injection moulding of thermoplastic,part 1 Theoretical model,Polymer Eng.Sci.,12,4 (1972),294.
    [9]
    Lack,C.D.and C.A.Silebi,Numerical simulation of reactive injection moulding in a radial flow geometry,Polymer Eng.Sci.,28,7 (1988),473.
    [10]
    Hieber,C.A.and S.F.Shen,A finite element/finite difference simulation of the injection mould fillingprocess,J.Non-Newtonian Fluid Mech.,7 (1980),1.
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